Approximate probability distributions for the extreme spread

Malcolm S. Taylor and Frank E. Grubbs

Naval Research Logistics Quarterly, 1975, vol. 22, issue 4, 713-719

Abstract: The extreme spread, or greatest distance between all pairs of impact points on a target, is often used as a rapid measure of dispersion or precision of shot groups on a target. It is therefore desirable to know its statistical properties. Since the exact theoretical distribution has not yet been worked out, this paper examines the accuracy of several approximations which are checked against large sample monte carlo values. We find in particular that for the sample sizes considered the extreme spread can be approximated well by a Chi variate.

Date: 1975
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Persistent link: https://EconPapers.repec.org/RePEc:wly:navlog:v:22:y:1975:i:4:p:713-719

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